Constructing arithmetic subgroups of unipotent groups
Group Theory
2008-07-01 v1 Representation Theory
Abstract
Let G be a unipotent algebraic subgroup of some GL_m(C) defined over Q. We describe an algorithm for finding a finite set of generators of the subgroup G(Z) = G \cap GL_m(Z). This is based on a new proof of the result (in more general form due to Borel and Harish-Chandra) that such a finite generating set exists.
Cite
@article{arxiv.0806.4916,
title = {Constructing arithmetic subgroups of unipotent groups},
author = {Willem de Graaf and Andrea Pavan},
journal= {arXiv preprint arXiv:0806.4916},
year = {2008}
}
Comments
19 pages